Congratulations on your puppy. First and foremost, there is a light at the end of the tunnel, but since your pup is so young it will take longer for you.
1. At 7 weeks, especially if your pup is not weaned, it should still be with his mother and littermates. You may want to ask your breeder why s/he let the puppy go so young and see what they say.
2. your pup should NOT be taken outside to pee on the ground. You should get wee wee pads and train the dog to go on them. I like the crate training method, it worked for me. My doggie is almost 5 months and not completely potty trained. Don't even think for a minute that a 7 week old puppy is going to "get" potty training.
3. They are puppies and they will bite.
4. Dogs bark, it's what they do. I do not stand for yapping but I will not discourage my dog from barking. It is natural and I love it when they "talk" to you. If you have yapping which even at 7 weeks, shouldn't be too loud, shake a can with a couple of pennies in it at the pup. They hate the sound and they will soon stop.
5. Regarding your patio enclosure. Granted I haven't seen it, but your pup is so young. Too young in my opinion to be away from its mother. This pup should be snuggled up in a warm blanket tucked away in a small crate. Even on an enclosed patio he could get tangled up in something or something could fall on him and that would be a disaster.
6. Has this pup been to the vet yet and started on its shots? It is a general rule that pups should not be walked on the ground until it's last set of shots. Too many buggies on the ground, he could get sick.
Good Luck with Logan and be patient and consistent